The company outlined its plans after posting its half-year results, which saw operating profits rise 19%.
The firm recently acquired US-based KeySpan. It has also disposed of its UK and US wireless businesses.
The acquisition of KeySpan makes National Grid the second largest energy delivery business in the US by customer numbers, said National Grid.
National Grid chief executive Steve Holliday said, "We are making good progress with the implementation of our global operating model and the integration of KeySpan.
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He said, "We believe that around 75% of our activities can be managed on either a global or lines of business basis, while only 25% need to be tailored to meet specific local requirements.
"To achieve this aim, we are developing and deploying standardised procedures and processes for customer service, asset management, and work delivery. In support of these 'front-line' activities, we have established UK and US shared services, global IS and global finance organisations."
Holliday said the approach will "yield significant savings in our regulated controllable cost base, which is around £2bn annually."